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A 2-d shape is a two dimensional shape meaning it is flat.
The area of a shape does not provide enough information to determine its dimensions. First of all, there is no reason to assume that the area is rectangular in shape. Second, even if it were rectangular, it could be square or extremely long and very narrow.
pi r^2 h is used to determine the volume of a cylinder because when determing the area of a shape you first have to determine the area of the the base of the object and then multiply it by the height. The base of a cylinder is a circle and to find the area of a circle you use pi r^2 and hence the reason why pi r^2 is used to find the volume of the cylinder.
A 2-D shape is a shape that does not pop out.
It is a circular shape with 3 faces and 2 edges.